{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pymc3 as pm\n",
    "import numpy\n",
    "import pandas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-darkgrid')\n",
    "\n",
    "# Initialize random number generator\n",
    "np.random.seed(123)\n",
    "\n",
    "# True parameter values\n",
    "alpha, sigma = 1, 1\n",
    "beta = [1, 1.2]\n",
    "\n",
    "# Size of dataset\n",
    "s = 1000\n",
    "\n",
    "# Predictor variable\n",
    "xd1 = pm.distributions.continuous.SkewNormal.dist(mu=2.0,tau=0.8, alpha=1)\n",
    "X1 = np.random.randn(s) #xd1.random(size=s)\n",
    "X2 = 3 + np.random.randn(s) * 1.2\n",
    "\n",
    "# Simulate outcome variable\n",
    "Y = alpha + beta[0]*X1 + beta[1]*X2# + np.random.randn(size)*sigma\n",
    "x = X1 + X2 - (X1*X2)\n",
    "\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.scatter(X1, Y)\n",
    "plt.scatter(X2, Y)\n",
    "plt.scatter(x, Y)\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 2, 3, 4]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "l = [1,2,3,4,5,6,7]\n",
    "[i for i in l if i < 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, Y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'PyModeS'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-1-4cacad28bb97>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mPyModeS\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mpms\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'PyModeS'"
     ]
    }
   ],
   "source": [
    "import PyModeS as pms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
